Latest Elitmus Aptitude Question SOLUTION: Suppose a person has a salary S in every 2 years the salary gets incremented by S/2. So how many years its going to take , to get S^2. options : 1) 4S 2) 4(S-1) 3 & 4th op

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(#M40037451) ELITMUS Category question Keep an EYE

Suppose a person has a salary S in every 2 years the salary gets incremented by S/2. So how many years its going to take , to get S^2.


options : 1) 4S 2) 4(S-1) 3 & 4th option i don't remember.

Asked In Elitmus yogita pal (10 years ago)

Unsolved Read Solution (8)

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Ankit Chachra  (10 years ago)

According to question,
His salary will increase like this: S+ S/2+ S/2+ S/2+ S/2...

So total salary we require: S^2

Therefore,

S^2 =S + n(S/2) ...where n= no . of terms S/2 = no. of 2-year gaps

Solving the above equation:

S=1+n(1/2) => n=2(s-1)

therefore if n is number of '2-year gaps', then no. of years will be: 2*n

=2*2(S-1)=4(S-1)

Answer: (b) 4(S-1)

Is this solution Helpfull? Yes (11) | No (6)  

Sourav Mitra  (9 years ago)

salary to be incremented = s^2-s = s(s-1)
salary increases in 2 years given s/2.
thus no of 2 years required to be a salary of s^2 = [s(s-1)]/[s/2] = 2(s-1)
thus total no of years required is 2*2(s-1) {since 2(s-1) is the no of 2 years that is required to hve a salary of s^2}
thus 4(s-1) is the answer...:)

Is this solution Helpfull? Yes (6) | No (3)  

Akash Deshwal  (10 years ago)

it's 4(s-1).. solve this problem by taking s=2,3 &4.

Is this solution Helpfull? Yes (3) | No (6)  

Raj Kumar Ray  (9 years ago)

salary = 6rs.
2 yrs increment = 3rs... takes 20 years time to reach 36 rs i.e. s^2
20 = 4(6-1) =4(s-1)
(2)

Is this solution Helpfull? Yes (3) | No (1)  

Ankit Bhatia  (10 years ago)

find the value of n using this equation S^2 = S(1 + 1/2)^n
answer will be 2 times of n.

Is this solution Helpfull? Yes (2) | No (5)  

Diya  (10 years ago)

it will take 2s years because s/2*2s=s^2.

Is this solution Helpfull? Yes (1) | No (7)  

Aakash  (9 years ago)

it forms an A.P.
s, s+ s/2, s+s/2+s/2 ...... s^2

Now
a+(n-1)d=s^2
s+(n-1)s/2=s^2

solving this we'll get n=2s-1

Is this solution Helpfull? Yes (1) | No   

deepak  (9 years ago)

rakesh bhai kya hoga solution
bta do

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